A team scored an average (arithmetic mean) of a points for the first x games of the season, and it scored an average of b points for all y games of the season, where a, b, x, and y are integers and y > x > 0. What was the team's average score for the games played after the first x games?
A. byax/yx
B. ax+by/x+y
C. ax+by/2y
D. byax/x+y
E. y/bx/a
Can anyone explain how do you find the saolution for this problem.
OA is E.
Need Help solving a PS problem.
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You could substitute numbers to do this.
Say x = 2 games and the team scored 1 point each game.
So in 2 games, a = 2/2 = 1
And y = 4 games where they scored 2 points each.
So in 4 games, b = 8/4 = 2
Your average after x games should be x/a = 2/2 = 1. See which option gives you this.
E for sure satisfies. Check for other options as well
Say x = 2 games and the team scored 1 point each game.
So in 2 games, a = 2/2 = 1
And y = 4 games where they scored 2 points each.
So in 4 games, b = 8/4 = 2
Your average after x games should be x/a = 2/2 = 1. See which option gives you this.
E for sure satisfies. Check for other options as well

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Total points earned = bynavpaktos wrote:A team scored an average (arithmetic mean) of a points for the first x games of the season, and it scored an average of b points for all y games of the season, where a, b, x, and y are integers and y > x > 0. What was the team's average score for the games played after the first x games?
A. byax/yx
B. ax+by/x+y
C. ax+by/2y
D. byax/x+y
E. y/bx/a
Can anyone explain how do you find the saolution for this problem.
OA is E.
Pints earned in first x games season = ax
Points earned after x games = byax
games played after x games = yx
Average = (byax)/(yx)
I think the answer should be A